ON THE PROBLEMS OF PERIDYNAMICS WITH SPECIAL CONVOLUTION KERNELS

The well-posedness and regularity of a peridynamic model with a special kernel is studied. The differential-integral equation describing the model is first converted to an operator valued Volterra integral equation. Then the existence and regularity of the solution of the peridynamics problem are es...

Full description

Saved in:
Bibliographic Details
Published in:The Journal of integral equations and applications 2014-09, Vol.26 (3), p.301-321
Main Authors: ALIMOV, S.A., CAO, YANZHAO, ILHAN, O.A.
Format: Article
Language:English
Subjects:
Banach space
Differential equations
Fourier transformations
Hilbert spaces
Sine function
Sobolev spaces
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The well-posedness and regularity of a peridynamic model with a special kernel is studied. The differential-integral equation describing the model is first converted to an operator valued Volterra integral equation. Then the existence and regularity of the solution of the peridynamics problem are established through the study of the Volterra integral equation. The regularity results improve the previous known results for more general peridynamics models.
ISSN:0897-3962
1938-2626
DOI:10.1216/JIE-2014-26-3-301